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Finding the Fourth Proportional to 782.62, 1,080.04 and 451.06

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Solution

The fourth proportional to 782.62, 1,080.04 and 451.06 is: 622.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.62 : 1,080.04 = 451.06 : x
  2. Step 2: Convert to fraction form
    782.62/1,080.04 = 451.06/x
  3. Step 3: Cross multiply
    782.62x = 1,080.04 × 451.06
  4. Step 4: Simplify right side
    782.62x = 487,162.84
  5. Step 5: Solve for x
    x = 487,162.84/782.62
  6. Step 6: Final answer
    x = 622.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.